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Finding the Fourth Proportional to 98.99, 149.01 and 89.06

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Solution

The fourth proportional to 98.99, 149.01 and 89.06 is: 134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.99 : 149.01 = 89.06 : x
  2. Step 2: Convert to fraction form
    98.99/149.01 = 89.06/x
  3. Step 3: Cross multiply
    98.99x = 149.01 × 89.06
  4. Step 4: Simplify right side
    98.99x = 13,271.20
  5. Step 5: Solve for x
    x = 13,271.20/98.99
  6. Step 6: Final answer
    x = 134.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.